Let $N$ be the total number of integer solutions to the equation
$X_1+X_2+X_3=30$
where each $X_i, i=1,2,3$, is non-negative and not divisible by 3 . Then $N$ is equal to

• Correct answer
  A

  $100$
• B

  $244$
• C

  $331$
• D

  $402$

Hence, the correct answer is option: 'A'.